by cvoinescu » Fri Apr 05, 2013 6:31 pm
A 70 oz in motor with an 18-tooth MXL pulley (abut 5.8 mm pitch radius) will be able to exert a force of about 87 N (8.6 kgf) on the belt. That's enough to hold a 4 kg rig on a vertical rail and move it slowly up or down, with very gentle acceleration. However, the radial force spec for the motor is only about 30 N, which means you'll exceed that by a factor of two (or more, depending on how the belt is routed). I don't think the shaft will break; you'll just wear the bearings much faster, which is something I wouldn't worry about in your application.
However, it seems that a NEMA17 is marginal. I'd go with a NEMA23. It costs only a little more, 1/4" bore pulleys are available too, and you can still use the same drivers. A small NEMA23 (e.g. 50 mm long) weighs only about 500-600 g (less than twice as much as a large NEMA17) and provides at least 125 oz in of holding torque, so I think it's just right.
Even better would be a NEMA17 motor with a gear box. You mention 25:1, which sounds perfectly fine. It may give you some additional positioning accuracy (which you may or may not need, and backlash from the gears may negate any gain), and definitely plenty of torque to move your rig. It won't be fast, though, but then neither would the non-geared NEMA17. An important advantage of a geared motor is that, with a vertical rail, if power to the driver gets cut (or the driver overheats and shuts down), the detent torque of the unpowered motor may hold your rig up, and even if it doesn't, friction and electromagnetic braking (involving the protection diodes in the driver circuit) would slow down its fall. With an non-geared motor, the moment you turn the power off, the rig falls all the way down (not free-fall, but if the stop is not a shock absorber, it's still a hard bump).